On partial-Armendariz rings

This article concerns a generalization of Armendariz rings that is done by restricting the degree to one. We shall call such rings, as to satisfy this property, {\it partial-Armendariz}. We first show that partial-Armendariz rings are between Armendariz rings and weak Armendariz rings. The basic str...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2019, 34(3), , pp.719-727
Hauptverfasser: 남상복, Zhelin Piao, 윤상조
Format: Artikel
Sprache:eng
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Zusammenfassung:This article concerns a generalization of Armendariz rings that is done by restricting the degree to one. We shall call such rings, as to satisfy this property, {\it partial-Armendariz}. We first show that partial-Armendariz rings are between Armendariz rings and weak Armendariz rings. The basic structures of partial-Armendariz rings are investigated, and the relations between partial-Armendariz rings and near related ring properties are also studied. KCI Citation Count: 0
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.c180249